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Finding the Fourth Proportional to 291,337.20, 402,052.80 and 164,017.32

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Solution

The fourth proportional to 291,337.20, 402,052.80 and 164,017.32 is: 226,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,337.20 : 402,052.80 = 164,017.32 : x
  2. Step 2: Convert to fraction form
    291,337.20/402,052.80 = 164,017.32/x
  3. Step 3: Cross multiply
    291,337.20x = 402,052.80 × 164,017.32
  4. Step 4: Simplify right side
    291,337.20x = 65,943,622,754.50
  5. Step 5: Solve for x
    x = 65,943,622,754.50/291,337.20
  6. Step 6: Final answer
    x = 226,348.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.